Math · Grade 7 · Middle School
Math, Grade 7
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Mathematical process standardsThe student uses mathematical processes to acquire and demonstrate mathematical…
- Using Math in Real LifeApply mathematics to problems arising in everyday life, society, and the workplace7.1(A)
- Five Steps to Solve Any ProblemUse a problem-solving model that incorporates analyzing given information, formulating a plan or…7.1(B)
- Picking the Right Math ToolSelect tools, including real objects, manipulatives, paper and pencil, and technology as…7.1(C)
- Show Your Math Four WaysCommunicate mathematical ideas, reasoning, and their implications using multiple representations…7.1(D)
- Show Your Math Three WaysCreate and use representations to organize, record, and communicate mathematical ideas7.1(E)
- Connecting Math Ideas That MatchAnalyze mathematical relationships to connect and communicate mathematical ideas7.1(F)
- Show, Explain, and Defend Your MathDisplay, explain, and justify mathematical ideas and arguments using precise mathematical language…7.1(G)
Number and operationsThe student applies mathematical process standards to represent and use rational numbers…
Number and operationsThe student applies mathematical process standards to add, subtract, multiply, and divide…
ProportionalityThe student applies mathematical process standards to represent and solve problems…
- Finding a Constant Rate AnywhereRepresent constant rates of change in mathematical and real-world problems given pictorial…7.4(A)
- Finding the Rate for OneCalculate unit rates from rates in mathematical and real-world problems7.4(B)
- Finding the Constant of ProportionalityDetermine the constant of proportionality (k = y/x) within mathematical and real-world problems7.4(C)
- Ratios, Rates, and PercentsSolve problems involving ratios, rates, and percents, including multi-step problems involving…7.4(D)
- Switching Between Measurement SystemsConvert between measurement systems, including the use of proportions and the use of unit rates7.4(E)
ProportionalityThe student applies mathematical process standards to use geometry to describe or solve…
- What Makes Shapes SimilarGeneralize the critical attributes of similarity, including ratios within and between similar shapes7.5(A)
- Pi Is a RatioDescribe π as the ratio of the circumference of a circle to its diameter7.5(B)
- Similar Shapes and Scale DrawingsSolve mathematical and real-world problems involving similar shape and scale drawings7.5(C)
ProportionalityThe student applies mathematical process standards to use probability and statistics to…
- Listing Every Possible OutcomeRepresent sample spaces for simple and compound events using lists and tree diagrams7.6(A)
- Simulating Chance With Many ToolsSelect and use different simulations to represent simple and compound events with and without…7.6(B)
- Predicting With Experimental DataMake predictions and determine solutions using experimental data for simple and compound events7.6(C)
- Predicting With Theoretical ProbabilityMake predictions and determine solutions using theoretical probability for simple and compound…7.6(D)
- Events and Their ComplementsFind the probabilities of a simple event and its complement and describe the relationship between…7.6(E)
- Using Samples to PredictUse data from a random sample to make inferences about a population7.6(F)
- Reading Graphs to Solve ProblemsSolve problems using data represented in bar graphs, dot plots, and circle graphs, including…7.6(G)
- Predicting Results From ExperimentsSolve problems using qualitative and quantitative predictions and comparisons from simple…7.6(H)
- Chances From Coolers and CoinsDetermine experimental and theoretical probabilities related to simple and compound events using…7.6(I)
Expressions, equations, and relationshipsThe student applies mathematical process standards to represent linear relationships…
Expressions, equations, and relationshipsThe student applies mathematical process standards to develop geometric relationships…
- Prism and Pyramid Volume ConnectionModel the relationship between the volume of a rectangular prism and a rectangular pyramid having…7.8(A)
- Prisms, Pyramids, and ThirdsExplain verbally and symbolically the relationship between the volume of a triangular prism and a…7.8(B)
- Finding Circle Formulas With ModelsUse models to determine the approximate formulas for the circumference and area of a circle and…7.8(C)
Expressions, equations, and relationshipsThe student applies mathematical process standards to solve geometric problems
- Volume of Prisms and PyramidsSolve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids…7.9(A)
- Circumference and Area of CirclesDetermine the circumference and area of circles7.9(B)
- Finding Area of Combined ShapesDetermine the area of composite figures containing combinations of rectangles, squares…7.9(C)
- Surface Area From NetsSolve problems involving the lateral and total surface area of a rectangular prism, rectangular…7.9(D)
Expressions, equations, and relationshipsThe student applies mathematical process standards to use one-variable equations and…
- Writing Two-Step Equations and InequalitiesWrite one-variable, two-step equations and inequalities to represent constraints or conditions…7.10(A)
- Showing Solutions on a Number LineRepresent solutions for one-variable, two-step equations and inequalities on number lines7.10(B)
- Turning Equations Into Real StoriesWrite a corresponding real-world problem given a one-variable, two-step equation or inequality7.10(C)
Expressions, equations, and relationshipsThe student applies mathematical process standards to solve one-variable equations and…
- Solving Two-Step EquationsModel and solve one-variable, two-step equations and inequalities7.11(A)
- Does This Value Make It True?Determine if the given value(s) make(s) one-variable, two-step equations and inequalities true7.11(B)
- Solving Equations With AnglesWrite and solve equations using geometry concepts, including the sum of the angles in a triangle…7.11(C)
Measurement and dataThe student applies mathematical process standards to use statistical representations to…
- Comparing Two Groups With PlotsCompare two groups of numeric data using comparative dot plots or box plots by comparing their…7.12(A)
- Using Samples to PredictUse data from a random sample to make inferences about a population7.12(B)
- Comparing Two Groups FairlyCompare two populations based on data in random samples from these populations, including informal…7.12(C)
Personal financial literacyThe student applies mathematical process standards to develop an economic way of thinking…
- Figuring Out Sales Tax and Income TaxCalculate the sales tax for a given purchase and calculate income tax for earned wages7.13(A)
- Building and Reading a Personal BudgetIdentify the components of a personal budget, including income; planned savings for college…7.13(B)
- Finding Your Net WorthCreate and organize a financial assets and liabilities record and construct a net worth statement7.13(C)
- What Does a Family Need to Earn?Use a family budget estimator to determine the minimum household budget and average hourly wage…7.13(D)
- Simple Interest Versus Compound InterestCalculate and compare simple interest and compound interest earnings7.13(E)
- Sales, Rebates, and CouponsAnalyze and compare monetary incentives, including sales, rebates, and coupons7.13(F)